Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per minute and a standard deviation of σ=12.5beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute. The probability is _.(Round to four decimal places as needed.) b. If16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is _. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. C. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. D. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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#29- Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per minute and a standard deviation of σ=12.5beats per minute. Complete parts (a) through (c) below.

a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute.

The probability is _____.(Round to four decimal places as needed.)

b. If16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 78 beats per minute.

The probability is _____. (Round to four decimal places as needed.)

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.

Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.

Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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